1<SUP>－－</SUP>QQqq STATES, THEIR MIXING WITH QQ STATES, AND HADRONIC TRANSITIONS

ZHAO Guang-Da

Chinese Physics C> 1984, Vol. 8> Issue(3) : 316-322

1^－－QQqq STATES, THEIR MIXING WITH QQ STATES, AND HADRONIC TRANSITIONS

ZHAO Guang-Da ^,

Physics Department, Peking University

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Abstract：
In the framework of the MIT bag model and under Born-Oppenheimer approximation, the 1^－－QQqq states and their mixing with QQ states are discussed, where Q=c, b; q=u, d, and both QQ and qq are colour singlets. The mixing is introduced through a coupling, constant. An approximate scaling law for hadronic transitions (QQ)′→(QQ)ππ could be obtained and the ratio of Γ(ψ′→4ππ) to Γ(Υ′→Υππ) could be compatible with the data if the coupling constant is flavour-independent. The mixing is dominated by QQqq states in which qq is a P-wave 0⁺⁺ state and therefore the observed isotropic angular distribution of the pion in ψ′→ψππ and γ′→γππ can be well explained.

References

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ZHAO Guang-Da. 1^－－QQqq STATES, THEIR MIXING WITH QQ STATES, AND HADRONIC TRANSITIONS[J]. Chinese Physics C, 1984, 8(3): 316-322.

ZHAO Guang-Da. 1^－－QQqq STATES, THEIR MIXING WITH QQ STATES, AND HADRONIC TRANSITIONS[J]. Chinese Physics C, 1984, 8(3): 316-322. shu

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Received: 1900-01-01
Revised: 1900-01-01

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沈阳化工大学材料科学与工程学院沈阳 110142

1^－－QQqq STATES, THEIR MIXING WITH QQ STATES, AND HADRONIC TRANSITIONS

ZHAO Guang-Da ^,

Corresponding author: ZHAO Guang-Da,

Physics Department, Peking University

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1984-06-05

Abstract: In the framework of the MIT bag model and under Born-Oppenheimer approximation, the 1^－－QQqq states and their mixing with QQ states are discussed, where Q=c, b; q=u, d, and both QQ and qq are colour singlets. The mixing is introduced through a coupling, constant. An approximate scaling law for hadronic transitions (QQ)′→(QQ)ππ could be obtained and the ratio of Γ(ψ′→4ππ) to Γ(Υ′→Υππ) could be compatible with the data if the coupling constant is flavour-independent. The mixing is dominated by QQqq states in which qq is a P-wave 0⁺⁺ state and therefore the observed isotropic angular distribution of the pion in ψ′→ψππ and γ′→γππ can be well explained.